Finding the Third Proportional to 78,469 and 172,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,469 : 172,773.50 = 172,773.50 : x
2. Step 2: Convert to fraction form
   78,469/172,773.50 = 172,773.50/x
3. Step 3: Cross multiply
   78,469x = 172,773.50 × 172,773.50
4. Step 4: Simplify right side
   78,469x = 29,850,682,302.25
5. Step 5: Solve for x
   x = 29,850,682,302.25/78,469
6. Step 6: Final answer
   x = 380,413.70